Question

calcule:
$243 \times \frac{ - 2}{5}$
$243 {}^{0.6}$
$3125 {}^{0.2}$
$1024 {}^{0.1}$

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Answer 1

a)

${243}^{ \frac{ - 2}{5}}$

$\sqrt[5]{ {243}^{ - 2} }$

$\sqrt[5]{( {3}^{5} )^{ - 2} }$

${3}^{ - 2}$

$\frac{1}{ {3}^{2} }$

$\frac{1}{9}$

b)

$243 {}^{0.6}$

${3}^{5 * 0.6}$

${3}^{3}$

27

c)

$3125 {}^{0.2}$

$5 {}^{5*0.2}$

$5 {}^{1}$

5

d)

$1024 {}^{0.1}$

$2{}^{10*0.1}$

$2{}^{1}$

2